Quantum cosmology of the multi-field scalar matter: some exact solutions

Abstract

We consider the gravity interacting with matter scalar fields and quantized in the minisuperspace approach in which the wave functional is described by the Wheeler-DeWitt equations (WdW). Assuming the domination of the homogeneous and isotropic geometry the leading contributions to the wave functional in the approximation of the minisuperspace with Friedmann-Robertson-Walker metric (FRW) and spatially uniform scalar fields are considered. The model of several scalar fields with exponential potentials and kinetic terms admitting such a special mixing that ultimately it is possible to separate the variables in the WdW equation and to find its exact solution in terms of the special functions is proposed. The semiclassical approximation is thoroughly investigated and the boundary conditions permitting the physical solution selection for classical cosmologies are chosen.

arXiv comment16 pages

References in corpus (23)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Quintom Cosmology: Theoretical implications and observations
• Reconstructing Dark Energy
• A classification of scalar field potentials with cosmological scaling solutions
• Tachyons, Scalar Fields and Cosmology
• Accelerating Cosmologies from Compactification
• On Some Exponential Potentials for a Cosmological Scalar Field as Quintessence
• Exact solution of scalar field cosmology with exponential potentials and transient acceleration
• A note on accelerating cosmologies from compactifications and S-branes
• Accelerating Cosmologies from Exponential Potentials
• Scaling Solutions and reconstruction of Scalar Field Potentials
• On Climbing Scalars in String Theory
• General solution of scalar field cosmology with a (piecewise) exponential potential
• Selection rules for the Wheeler-DeWitt equation in quantum cosmology
• On exact solutions for quintessential (inflationary) cosmological models with exponential potentials
• Remarks on the general solution for the flat Friedman universe with exponential scalar-field potential and dust
• Phantom without phantom or how the PT symmetry saves us from the Big Rip

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